Elliptic curves over $\Q$ of conductor 4680

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
4680.a1	4680h1	4680.a	4680h	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$0.203911970$	$1$		$8$	$3840$	$0.605055$	$-17790954496/195$	$0.91521$	$4.22892$	$[0, 0, 0, -3108, 66692]$	\(y^2=x^3-3108x+66692\)	390.2.0.?	$[(34, 18)]$
4680.b1	4680l1	4680.b	4680l	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$1.042961630$	$1$		$4$	$40320$	$1.972736$	$74251994112/29007265625$	$1.10272$	$5.55868$	$[0, 0, 0, 15012, -18380412]$	\(y^2=x^3+15012x-18380412\)	390.2.0.?	$[(456, 9126)]$
4680.c1	4680o1	4680.c	4680o	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$0.988454261$	$1$		$4$	$3840$	$0.783908$	$-504871936/394875$	$0.89480$	$3.90859$	$[0, 0, 0, -948, -17228]$	\(y^2=x^3-948x-17228\)	390.2.0.?	$[(44, 162)]$
4680.d1	4680p2	4680.d	4680p	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$3072$	$0.725924$	$434163602/7605$	$0.87463$	$4.03562$	$[0, 0, 0, -1803, -29018]$	\(y^2=x^3-1803x-29018\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[]$
4680.d2	4680p1	4680.d	4680p	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$1536$	$0.379351$	$-4/975$	$1.04093$	$3.29667$	$[0, 0, 0, -3, -1298]$	\(y^2=x^3-3x-1298\)	2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?	$[]$
4680.e1	4680e1	4680.e	4680e	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$1560$	$48$	$0$	$1.549528046$	$1$		$5$	$768$	$0.154970$	$3631696/65$	$0.75998$	$3.22351$	$[0, 0, 0, -183, 938]$	\(y^2=x^3-183x+938\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 130.6.0.?, 260.24.0.?, $\ldots$	$[(-2, 36)]$
4680.e2	4680e2	4680.e	4680e	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$1560$	$48$	$0$	$0.774764023$	$1$		$7$	$1536$	$0.501544$	$-4/4225$	$1.09431$	$3.47018$	$[0, 0, 0, -3, 2702]$	\(y^2=x^3-3x+2702\)	2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 260.12.0.?, 520.24.0.?, $\ldots$	$[(-1, 52)]$
4680.f1	4680k2	4680.f	4680k	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{11} \cdot 3^{9} \cdot 5 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$3.067081530$	$1$		$3$	$4608$	$0.915346$	$492983766/845$	$0.87955$	$4.44064$	$[0, 0, 0, -5643, 162918]$	\(y^2=x^3-5643x+162918\)	2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.?	$[(46, 26)]$
4680.f2	4680k1	4680.f	4680k	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1.533540765$	$1$		$5$	$2304$	$0.568772$	$-78732/325$	$0.84264$	$3.57218$	$[0, 0, 0, -243, 4158]$	\(y^2=x^3-243x+4158\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(6, 54)]$
4680.g1	4680f3	4680.g	4680f	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.53	2B	$624$	$192$	$1$	$13.10789990$	$1$		$1$	$122880$	$2.466877$	$1556580279686303289604/114075$	$1.04256$	$7.37422$	$[0, 0, 0, -21902403, -39453520498]$	\(y^2=x^3-21902403x-39453520498\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 12.24.0-12.h.1.1, 16.48.0-16.f.1.14, $\ldots$	$[(1247297/14, 770672617/14)]$
4680.g2	4680f5	4680.g	4680f	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{11} \cdot 3^{12} \cdot 5^{16} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.173	2B	$624$	$192$	$1$	$26.21579980$	$1$		$1$	$245760$	$2.813450$	$8248670337458940482/1446075439453125$	$1.08352$	$6.83617$	$[0, 0, 0, -4811043, 3391121342]$	\(y^2=x^3-4811043x+3391121342\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0-4.c.1.1, 16.48.0-16.f.2.9, $\ldots$	$[(651576608902/15841, 364442236394750478/15841)]$
4680.g3	4680f4	4680.g	4680f	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{10} \cdot 3^{18} \cdot 5^{8} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.101	2Cs	$312$	$192$	$1$	$13.10789990$	$1$		$3$	$122880$	$2.466877$	$405929061432816484/35083409765625$	$1.07074$	$6.39779$	$[0, 0, 0, -1399323, -587626522]$	\(y^2=x^3-1399323x-587626522\)	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.4, 12.24.0-4.b.1.1, 24.96.0-24.t.1.3, $\ldots$	$[(-3308921/73, 2516682672/73)]$
4680.g4	4680f2	4680.g	4680f	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 13^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.16	2Cs	$312$	$192$	$1$	$6.553949950$	$1$		$3$	$61440$	$2.120304$	$1520107298839022416/13013105625$	$1.01425$	$6.38999$	$[0, 0, 0, -1368903, -616458598]$	\(y^2=x^3-1368903x-616458598\)	2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.d.1.15, 12.48.0-12.c.1.4, 24.96.0-24.g.2.8, $\ldots$	$[(21329/2, 3032575/2)]$
4680.g5	4680f1	4680.g	4680f	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 13^{8} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.168	2B	$624$	$192$	$1$	$3.276974975$	$1$		$7$	$30720$	$1.773729$	$-5551350318708736/550618236675$	$1.01951$	$5.41652$	$[0, 0, 0, -83658, -10080007]$	\(y^2=x^3-83658x-10080007\)	2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 8.48.0-8.ba.1.7, 12.24.0-12.g.1.2, $\ldots$	$[(389, 4030)]$
4680.g6	4680f6	4680.g	4680f	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{11} \cdot 3^{30} \cdot 5^{4} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.48.0.137	2B	$624$	$192$	$1$	$26.21579980$	$1$		$1$	$245760$	$2.813450$	$263059523447441758/2294739983908125$	$1.04969$	$6.74138$	$[0, 0, 0, 1525677, -2721121522]$	\(y^2=x^3+1525677x-2721121522\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.1, 16.48.0-8.ba.2.4, $\ldots$	$[(206262928409/6278, 95381203059654757/6278)]$
4680.h1	4680j2	4680.h	4680j	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$18432$	$1.476490$	$216092050322508/3016755625$	$1.03524$	$5.11582$	$[0, 0, 0, -37803, -2794698]$	\(y^2=x^3-37803x-2794698\)	2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.?	$[]$
4680.h2	4680j1	4680.h	4680j	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$9216$	$1.129917$	$-445090032/858203125$	$1.13399$	$4.36234$	$[0, 0, 0, -303, -117198]$	\(y^2=x^3-303x-117198\)	2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.?	$[]$
4680.i1	4680n2	4680.i	4680n	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{11} \cdot 3^{16} \cdot 5^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$4.171408048$	$1$		$3$	$15360$	$1.635841$	$4234737878642/1247410125$	$0.96992$	$5.12251$	$[0, 0, 0, -38523, 2039222]$	\(y^2=x^3-38523x+2039222\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(2974, 161838)]$
4680.i2	4680n1	4680.i	4680n	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{10} \cdot 3^{11} \cdot 5^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$2.085704024$	$1$		$5$	$7680$	$1.289268$	$40254822716/49359375$	$0.94318$	$4.50286$	$[0, 0, 0, 6477, 212222]$	\(y^2=x^3+6477x+212222\)	2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?	$[(-26, 162)]$
4680.j1	4680a1	4680.j	4680a	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{8} \cdot 3^{9} \cdot 5 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$0.717281886$	$1$		$4$	$1920$	$0.322206$	$-27648/65$	$0.73656$	$3.22822$	$[0, 0, 0, -108, -972]$	\(y^2=x^3-108x-972\)	390.2.0.?	$[(18, 54)]$
4680.k1	4680g3	4680.k	4680g	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{11} \cdot 3^{7} \cdot 5 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$6.664396910$	$4$	$2$	$3$	$12288$	$1.229685$	$31103978031362/195$	$0.97111$	$5.35846$	$[0, 0, 0, -74883, -7887202]$	\(y^2=x^3-74883x-7887202\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 52.12.0-4.c.1.1, $\ldots$	$[(626, 13804)]$
4680.k2	4680g4	4680.k	4680g	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{11} \cdot 3^{10} \cdot 5 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1.666099227$	$1$		$3$	$12288$	$1.229685$	$20183398562/11567205$	$1.00841$	$4.48990$	$[0, 0, 0, -6483, -19762]$	\(y^2=x^3-6483x-19762\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.v.1, 104.12.0.?, $\ldots$	$[(-74, 234)]$
4680.k3	4680g2	4680.k	4680g	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$1560$	$48$	$0$	$3.332198455$	$1$		$7$	$6144$	$0.883111$	$15214885924/38025$	$0.90605$	$4.37445$	$[0, 0, 0, -4683, -123082]$	\(y^2=x^3-4683x-123082\)	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$	$[(106, 756)]$
4680.k4	4680g1	4680.k	4680g	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1.666099227$	$1$		$5$	$3072$	$0.536538$	$-3631696/24375$	$0.84900$	$3.52330$	$[0, 0, 0, -183, -3382]$	\(y^2=x^3-183x-3382\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 52.12.0-4.c.1.2, $\ldots$	$[(31, 144)]$
4680.l1	4680q3	4680.l	4680q	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.15	2B	$3120$	$192$	$3$	$1$	$1$		$1$	$49152$	$2.141407$	$19129597231400697604/26325$	$1.02876$	$6.85369$	$[0, 0, 0, -5054403, 4373739502]$	\(y^2=x^3-5054403x+4373739502\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0.i.1, $\ldots$	$[]$
4680.l2	4680q2	4680.l	4680q	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.35	2Cs	$1560$	$192$	$3$	$1$	$1$		$3$	$24576$	$1.794832$	$18681746265374416/693005625$	$1.11967$	$5.86947$	$[0, 0, 0, -315903, 68338402]$	\(y^2=x^3-315903x+68338402\)	2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 12.24.0-4.a.1.1, 24.48.0-8.g.1.1, $\ldots$	$[]$
4680.l3	4680q4	4680.l	4680q	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.2	2B	$3120$	$192$	$3$	$1$	$1$		$1$	$49152$	$2.141407$	$-4053153720264484/903687890625$	$0.99872$	$5.89126$	$[0, 0, 0, -301323, 74931478]$	\(y^2=x^3-301323x+74931478\)	2.3.0.a.1, 4.24.0.c.1, 12.48.0-4.c.1.1, 104.48.1.?, 312.96.1.?, $\ldots$	$[]$
4680.l4	4680q1	4680.l	4680q	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{4} \cdot 3^{22} \cdot 5^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.15	2B	$3120$	$192$	$3$	$1$	$1$		$1$	$12288$	$1.448259$	$83587439220736/13990184325$	$1.00034$	$4.90130$	$[0, 0, 0, -20658, 963493]$	\(y^2=x^3-20658x+963493\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0.i.1, $\ldots$	$[]$
4680.m1	4680v3	4680.m	4680v	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 13^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$312$	$48$	$0$	$1.036838165$	$1$		$11$	$12288$	$1.194626$	$490757540836/2142075$	$0.93734$	$4.78548$	$[0, 0, 0, -14907, 697894]$	\(y^2=x^3-14907x+697894\)	2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.?	$[(83, 180)]$
4680.m2	4680v2	4680.m	4680v	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$156$	$48$	$0$	$0.518419082$	$1$		$19$	$6144$	$0.848053$	$1650587344/950625$	$0.98820$	$3.94758$	$[0, 0, 0, -1407, -1406]$	\(y^2=x^3-1407x-1406\)	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 52.24.0-52.b.1.3, 156.48.0.?	$[(-7, 90)]$
4680.m3	4680v1	4680.m	4680v	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$312$	$48$	$0$	$1.036838165$	$1$		$7$	$3072$	$0.501479$	$9538484224/26325$	$0.91841$	$3.82708$	$[0, 0, 0, -1002, -12179]$	\(y^2=x^3-1002x-12179\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$	$[(-18, 5)]$
4680.m4	4680v4	4680.m	4680v	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$312$	$48$	$0$	$1.036838165$	$1$		$7$	$12288$	$1.194626$	$26198797244/15234375$	$1.02140$	$4.43875$	$[0, 0, 0, 5613, -11234]$	\(y^2=x^3+5613x-11234\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 78.6.0.?, 104.24.0.?, $\ldots$	$[(27, 400)]$
4680.n1	4680d1	4680.n	4680d	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$0.030919782$	$1$		$16$	$13440$	$1.423429$	$74251994112/29007265625$	$1.10272$	$4.77870$	$[0, 0, 0, 1668, 680756]$	\(y^2=x^3+1668x+680756\)	390.2.0.?	$[(862, 25350)]$
4680.o1	4680u1	4680.o	4680u	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{8} \cdot 3^{17} \cdot 5 \cdot 13^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$390$	$2$	$0$	$0.520839236$	$1$		$4$	$42240$	$1.909044$	$396555344454656/328867205355$	$1.02213$	$5.41361$	$[0, 0, 0, 87468, -6552236]$	\(y^2=x^3+87468x-6552236\)	390.2.0.?	$[(1460, 56862)]$
4680.p1	4680t3	4680.p	4680t	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{11} \cdot 3^{9} \cdot 5 \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1560$	$48$	$0$	$6.178122246$	$1$		$3$	$12288$	$1.416964$	$10625310339698/3855735$	$1.18546$	$5.23137$	$[0, 0, 0, -52347, -4608394]$	\(y^2=x^3-52347x-4608394\)	2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 312.24.0.?, 520.24.0.?, $\ldots$	$[(350, 4466)]$
4680.p2	4680t4	4680.p	4680t	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{11} \cdot 3^{18} \cdot 5 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1560$	$48$	$0$	$6.178122246$	$1$		$1$	$12288$	$1.416964$	$1481943889298/34543665$	$0.95159$	$4.99827$	$[0, 0, 0, -27147, 1686566]$	\(y^2=x^3-27147x+1686566\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 156.12.0.?, $\ldots$	$[(545/2, 5753/2)]$
4680.p3	4680t2	4680.p	4680t	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1560$	$48$	$0$	$3.089061123$	$1$		$7$	$6144$	$1.070389$	$7793764996/3080025$	$0.92131$	$4.29529$	$[0, 0, 0, -3747, -49714]$	\(y^2=x^3-3747x-49714\)	2.6.0.a.1, 4.12.0-2.a.1.1, 120.24.0.?, 156.24.0.?, 520.24.0.?, $\ldots$	$[(107, 880)]$
4680.p4	4680t1	4680.p	4680t	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 13 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1560$	$48$	$0$	$1.544530561$	$1$		$11$	$3072$	$0.723816$	$253012016/219375$	$0.87387$	$3.72567$	$[0, 0, 0, 753, -5614]$	\(y^2=x^3+753x-5614\)	2.3.0.a.1, 4.12.0-4.c.1.1, 78.6.0.?, 120.24.0.?, 156.24.0.?, $\ldots$	$[(10, 54)]$
4680.q1	4680r3	4680.q	4680r	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{11} \cdot 3^{14} \cdot 5^{3} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$24576$	$1.869869$	$52337949619538/23423590125$	$0.99759$	$5.42004$	$[0, 0, 0, -89067, 4870726]$	\(y^2=x^3-89067x+4870726\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.v.1, 60.12.0-4.c.1.1, $\ldots$	$[]$
4680.q2	4680r2	4680.q	4680r	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$1560$	$48$	$0$	$1$	$1$		$3$	$12288$	$1.523294$	$12677589459076/213890625$	$1.04517$	$5.17024$	$[0, 0, 0, -44067, -3508274]$	\(y^2=x^3-44067x-3508274\)	2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0-2.a.1.1, 104.12.0.?, $\ldots$	$[]$
4680.q3	4680r1	4680.q	4680r	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$6144$	$1.176722$	$50091484483024/14625$	$1.04455$	$5.16879$	$[0, 0, 0, -43887, -3538766]$	\(y^2=x^3-43887x-3538766\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$	$[]$
4680.q4	4680r4	4680.q	4680r	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{11} \cdot 3^{8} \cdot 5^{12} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$24576$	$1.869869$	$-546718898/28564453125$	$1.10685$	$5.41311$	$[0, 0, 0, -1947, -9935786]$	\(y^2=x^3-1947x-9935786\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$	$[]$
4680.r1	4680c2	4680.r	4680c	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{11} \cdot 3^{3} \cdot 5 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$4.165927888$	$1$		$3$	$1536$	$0.366040$	$492983766/845$	$0.87955$	$3.66066$	$[0, 0, 0, -627, -6034]$	\(y^2=x^3-627x-6034\)	2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.?	$[(50, 296)]$
4680.r2	4680c1	4680.r	4680c	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$2.082963944$	$1$		$5$	$768$	$0.019466$	$-78732/325$	$0.84264$	$2.79220$	$[0, 0, 0, -27, -154]$	\(y^2=x^3-27x-154\)	2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.?	$[(10, 24)]$
4680.s1	4680i3	4680.s	4680i	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{10} \cdot 3^{9} \cdot 5^{8} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$312$	$48$	$0$	$1$	$1$		$1$	$12288$	$1.560822$	$49235161015876/137109375$	$0.96975$	$5.33079$	$[0, 0, 0, -69267, -6999874]$	\(y^2=x^3-69267x-6999874\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.16, 104.24.0.?, 156.24.0.?, $\ldots$	$[]$
4680.s2	4680i4	4680.s	4680i	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{10} \cdot 3^{18} \cdot 5^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$312$	$48$	$0$	$1$	$1$		$1$	$12288$	$1.560822$	$39914580075556/172718325$	$0.96849$	$5.30595$	$[0, 0, 0, -64587, 6294134]$	\(y^2=x^3-64587x+6294134\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.z.1.12, $\ldots$	$[]$
4680.s3	4680i2	4680.s	4680i	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$156$	$48$	$0$	$1$	$1$		$3$	$6144$	$1.214249$	$133649126224/77000625$	$1.02472$	$4.46753$	$[0, 0, 0, -6087, -12166]$	\(y^2=x^3-6087x-12166\)	2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 52.24.0-52.b.1.3, 156.48.0.?	$[]$
4680.s4	4680i1	4680.s	4680i	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 13^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$312$	$48$	$0$	$1$	$1$		$3$	$3072$	$0.867675$	$33165879296/19278675$	$1.18904$	$3.97454$	$[0, 0, 0, 1518, -1519]$	\(y^2=x^3+1518x-1519\)	2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 12.24.0-12.g.1.2, 104.24.0.?, $\ldots$	$[]$
4680.t1	4680s3	4680.t	4680s	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$1560$	$48$	$0$	$1$	$1$		$1$	$4096$	$0.862427$	$9636491538/8125$	$0.94289$	$4.40242$	$[0, 0, 0, -5067, 138726]$	\(y^2=x^3-5067x+138726\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.y.1, 104.12.0.?, $\ldots$	$[]$
4680.t2	4680s2	4680.t	4680s	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$1560$	$48$	$0$	$1$	$1$		$3$	$2048$	$0.515853$	$8586756/4225$	$0.96662$	$3.48937$	$[0, 0, 0, -387, 1134]$	\(y^2=x^3-387x+1134\)	2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.b.1, 60.12.0-2.a.1.1, 104.12.0.?, $\ldots$	$[]$

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